Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 3x - 4y + sint y' = 2x-y-cost C OB. y(t) = C₁ e¹+ C₂te¹+ cost+ 9 10 sint 10 9 C. y(t) = C₁ e¹ cos 2t+ C₂ e ¹ sin 2t + 10 cost+ sint 10 9 3 OD. y(t) = C₁ e ¹+C₂te −¹+ sint 10 cost+ 10 O E. The system is degenerate. Now find x(t) so that x(t) and the solution for y(t) found in the previous step are general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x(t) = O B. The system is degenerate.

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Chapter1: Functions And Models
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Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t.
x' = 3x - 4y + sint
y' = 2x-y-cost
(…)
9
3
OB. y(t) = C₁ e¹+C₂te¹ + cost+
sin t
10
10
9
C. y(t) = C₁ e¹ cos 2t+ C₂ e¹ sin 2t +
3
cost+ sin t
10
10
9
3
OD. y(t) = C₁ e ¹+C₂te ¹+ cost+ sin t
10
10
O E. The system is degenerate.
Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if
necessary, fill in the answer box to complete your choice.
O A. x(t)=
O B. The system is degenerate.
Transcribed Image Text:Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 3x - 4y + sint y' = 2x-y-cost (…) 9 3 OB. y(t) = C₁ e¹+C₂te¹ + cost+ sin t 10 10 9 C. y(t) = C₁ e¹ cos 2t+ C₂ e¹ sin 2t + 3 cost+ sin t 10 10 9 3 OD. y(t) = C₁ e ¹+C₂te ¹+ cost+ sin t 10 10 O E. The system is degenerate. Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x(t)= O B. The system is degenerate.
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